Graduate Why Is Dissociation Rate Proportional to Current Raised to the Power of N?

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SUMMARY

The dissociation rate is directly proportional to the current raised to the power of N, where N represents the number of electrons involved in the reaction process. This relationship is established in the article by B. C. Stipe et al., published in Phys. Rev. Lett. 78, 4410 (1997). The underlying principle is that a higher number of electrons enhances interaction complexity, leading to a faster reaction rate. Furthermore, an increased current correlates with a stronger reaction rate due to the simultaneous presence of multiple electrons.

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Dissociation rate vs. current
Hello everyone,

I am looking for a simple intuitive explenation why the disociation rate is proportional to current^(N) where N determines the N-electron process in Fig. 4 of this article:
B. C. Stipe, M. A. Rezaei, W. Ho, S. Gao, M. Persson, and B. I. Lundqvist, Phys. Rev. Lett.
78, 4410 (1997)

Thank you and regards

Bipp
 
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ityThe explanation for why the dissociation rate is proportional to current^(N) is that the more electrons that are involved in the process, the faster the reaction will occur. This is because the electrons must all be in the same place at the same time to initiate the reaction. When there are more electrons involved, they can interact with each other in more complex ways, leading to a faster reaction rate. Additionally, when there are more electrons, the current they create is stronger, which also increases the reaction rate.